Does present value decreases at a linear rate rate at an increasing rate or at a decreasing rate with the discount rate why?

Present value decreases at a decreasing rate as the discount rate increases. This is because the present value formula involves exponential decay; as the rate increases, the impact of discounting future cash flows becomes more pronounced initially, but the rate of decline in present value diminishes over time. Thus, while higher discount rates lead to lower present values, the decrease in present value becomes less steep at higher rates compared to lower rates.